Advertisements
Advertisements
प्रश्न
Construct a triangle using the given data: Perimeter of triangle is 9 cm, and the base angles are 60° and 45°
उत्तर
Perimeter of triangle is 9 cm, and the base angles are 60° and 45°
Steps of construction:
1. Draw DE = 9 cm.
2. Draw DP and EQ such that ∠PDE = 45° and ∠QED = 60°.
3. Draw AD and AE, the bisectors of angles PDE and QED respectively, intersecting each other at A.
4. Draw perpendicular bisectors of AD and AE, intersecting DE at points B and C respectively.
5. Join AB and AC.
Thus, ABC is the required triangle.
APPEARS IN
संबंधित प्रश्न
Construct a triangle of the measures given below.
In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°
Construct a triangle of the measures given below.
In the right-angled ∆STU, hypotenuse SU = 5 cm and l(ST) = 4 cm.
Construct a triangle using the given data: XY = 5.2cm, XZ = 6.5cm and ∠X = 75°
Construct a triangle using the given data: PQ = 6.2cm, ∠P = 105° and ∠ = 45°
Construct an equilateral triangle using the given data: Altitude AD = 5 cm
Construct an equilateral triangle using the given data: Altitude OM = 5.8 cm
Construct a triangle using the following data: PQ + PR = 10.6 cm, QR = 4.8 cm and ∠R = 45°
Construct a triangle using the following data: DE + EF = 10.3 cm, EF = 6.4 cm and ∠E = 75°
Construct a ΔXYZ with YZ = 7.5 cm, ∠Y = 60° and ∠Z = 45°. Draw the bisectors of ∠Y and ∠Z. If these bisectors meet at O, measure angle YOZ.
Construct a ΔABC, right-angled at B with a perimeter of 10 cm and one acute angle of 60°.
